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Finding the Fourth Proportional to 10,167.01, 15,248.22 and 5,164.33

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Solution

The fourth proportional to 10,167.01, 15,248.22 and 5,164.33 is: 7,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.01 : 15,248.22 = 5,164.33 : x
  2. Step 2: Convert to fraction form
    10,167.01/15,248.22 = 5,164.33/x
  3. Step 3: Cross multiply
    10,167.01x = 15,248.22 × 5,164.33
  4. Step 4: Simplify right side
    10,167.01x = 78,746,839.99
  5. Step 5: Solve for x
    x = 78,746,839.99/10,167.01
  6. Step 6: Final answer
    x = 7,745.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.